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Finding the Fourth Proportional to 460.09, 690.13 and 113.43

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Solution

The fourth proportional to 460.09, 690.13 and 113.43 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.09 : 690.13 = 113.43 : x
  2. Step 2: Convert to fraction form
    460.09/690.13 = 113.43/x
  3. Step 3: Cross multiply
    460.09x = 690.13 × 113.43
  4. Step 4: Simplify right side
    460.09x = 78,277.43
  5. Step 5: Solve for x
    x = 78,277.43/460.09
  6. Step 6: Final answer
    x = 170.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.